1\4 fractions division

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds

96 + 36 = 132 pounds total

Step-by-step explanation:

12 . The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations..

Answer:

Option B

Step-by-step explanation:

log x=2

x = 10^2

Therefore, the exponential form is the one in option B

Answer:

B

Step-by-step explanation:

Convert to Exponential Form log of x=-2. log(x)=−2 log ( x ) = - 2. For logarithmic equations, logb(x)=y log b ( x ) = y is equivalent to by=x b y = x such that x>0 x

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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Answer:

y-b-w+x+12

Step-by-step explanation:

yea

Answer: 5x

Step-by-step explanation: 5(1) = 5

Step-by-step explanation:

yeah,when 15-7=8

the number is 8

Answer:

waesuihf98v97gadv

Step-by-step explanation:

sedcv08ad9 wedofc987asdf978tad

Answer:

14.11

Step-by-step explanation:

.83*16.5=14.11

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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The range of \(y =\log_8(x)\) is the set of all real values

The function is given as:

\(y =\log_8(x)\)

The above function is a parent logarithmic function.

The parent logarithmic function have a range of the set of all real values

Hence, the range of \(y =\log_8(x)\) is the set of all real values

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Answer:

D

Step-by-step explanation:

on edg

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

opiton B : 3/8

Step-by-step explanation:

Total  number of divisions = 8

Value of π = 3. 14

Numbers with values less than π = 1 , 2 , 3

\(Probability =\frac{ favourable \ outcome}{total \ outcome} = \frac{3}{8}\)

The probability of the event not spinning a number less than π is 3/8.

So, the opiton B is correct.

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

\(P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}\)

where, P(E) is denoting the experimental probability of occurrence of E.

We have the given information as

Total number of divisions = 8

Value of π = 3. 14

Numbers with values less than π = 1 , 2 , 3

the probability of the event not spinning a number less than π

= 3/8.

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Answer:

11ts + 4t^2 + 7t

Step-by-step explanation:

7st + 4t(s + t + 4) - 9t

= 7st + 4ts + 4t^2 + 16t - 9t

= 11ts + 4t^2 + 7t

Answer: 11st + 4t² + 7t

Step-by-step explanation:

Expand 4t(s + t + 4) into: 4st + 4t² + 16t

7st +4st + 4t² +16t - 9t

Add and subtract to get your answer

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{ 1 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+2 \end{array}}\)

Answer:

5  hi

Step-by-step explanation:

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

To determine the equation for cyclist one you have to calculate the slope of the line using two points.

The line starts at the origin (0,0) and passes through the point (1,30), using both points and the following formula you can determine its slope:

(x₁,y₁) → (0,0)

(x₂,y₂) → (1,30)

Once you have calculated the slope, you can use the point-slope form to determine the equation

m=30 and (x₁,y₁) = (0,0)

The equation for cyclist 1 is y=30x

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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Answer:

m-1: 31 degrees & m-4: 149 degrees

Step-by-step explanation:

we can start with im very bad at explaining but will try my best.

Step 1:

look at what you're given and remember the rules and principles of finding angles. so were given m-6. when having parallel lines with a perpendicular line the opposing side of the intercept will be the same. meaning that if m-6 is 149 then its opposing side, m-8, will have the same degree. but we know that with straight lines are 180 degrees so now that we have that out of the way we can move to step 2

Step 2:

you have the given and the rules to go with, so now we will begin to apply it. like i was saying a line is 180 degrees, and when we put a line through that we end up having different degrees. although theres an intercept the line is still 180 degrees. so to find the aligning angle we just have to subtract the given angle by our own knowledge.

180-149=31 this aligns with everything in this. there are only 2 angles necessary. 149 and 31, all we have to do now is plug it in.

M-5: 31 degrees

m-6: 149 degrees

m-7: 31 degrees

m-8: 149 degrees

Step 3:

all those annoying angles we just got through, guess what, all you have to do is apply those same angles with m1-m4

M-1: 31 degrees

M-2: 149 degrees

M-3: 31 degrees

M-4: 149 degrees

Answer:   30%

Step-by-step explanation:

Pie eaten by Anita = 30%

Pie eaten by Bob = 40%

total Pie = 100%

Pie left for by Sheila = 100 - (30 + 40)

                                 =  100 - 70

                                  = 30%

therefore, pie left for Sheila = 30%

Hope it helped u,

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Answer:70%

Step-by-step explanation:

Answer:

33.0693394

Step-by-step explanation:

1 klio is 2.20462262,just mulipily by 15.

The value of x is 11 units and the length of side RS = 11x-4 is 117 units.

with measurement BC = 60, CD = 50.

Triangle RST : RS = 11x-4, ST = 70

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Given:

BC = 60 and CD = 50

RS = 11x - 4 and ST = 70

Now, considering

BC : CD = RS : ST

60 : 50 = 11x - 4 : 70

60/50 = (11x - 4)/70

50 * (11x - 4) = 70 * 60

11x - 4 = 84

11x = 88

x = 11

So, RS = 11x - 4

RS = 11 x 11 - 4

RS = 117

Hence, the value of x is 11 and the length of side RS is 117

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We can tell if a graph is an exponential function if it follows certain characteristics and properties as follows:

Rest all properties are same as above.

A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.

It may or may not cut the x-axis, but it always cuts the y-axis at some point. In other words, an exponential graph always has a y-intercept while an x-intercept may or may not be present.


F(x) = ax, a>0, a1 is the simplest exponential function.

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Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)

The domain refers to the set of possible input values.

The domain of a graph consists of all the input values shown on the x-axis.

The range is the set of possible output values, which are shown on the y-axis.

According to the graph ,

The horizontal extent of the graph is starting from -4 and ending on 1

Therefore , the domain of graph is (-4 , 1)

These points are not included in the domain , you can observe the end points of curves is not filled

The vertical extent of graph is starting from 4 and going downwards till -5

so, Range of graph is (4 , -5)

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Answer:

the answer of it is 35.75

Step-by-step explanation:

Answer:

the width of the rectangle is 24 centimeters and the length is 31 centimeters.

Step-by-step explanation:

We first have to write an equation for this, but let's just recall that the area of a rectangle is equal to the length times the width. A=L×W.

A is the area

L is the length

W is the width.

So, for our equation we can start out by putting that 744= ? times ?.

So, we are given that the length is 7 more than the width. We are going to have to translate that to represent the length.

We need a variable. Let's use the letter "W," the width of the rectangle.

W=W.

The length is 7 more than the width, so it is L=W+7.

Length represents the W+7

Width represents W.

Now, we can complete our equation.

744=W(W+7).

Simplify the expression.

744=\(W^{2}\)+7W.

Alright, you may be thinking on how we are going to solve this problem. This equation correlates with quadratic functions.

Let's complete the square.

In a quadratic function, the standard from is y=\(ax^{2} +bx+c\).

We need to find the c value.

We can do this by applying a formula. The formula states that c= b/2 and the whole thing squared. In other words, \((\frac{b}{2} )^{2}\).

In this case, the b value is 7.

square 7, which is 49 and square 2 which is 4.

Now, the c value is 49/4.

We have now just created a perfect square trinomial.

Not only do we add 49/4 to W squared plus 7W, we also add 49/4 to 744.

744 plus 49/4 is 756/25.

Now, we have \(W^{2}+7w+\frac{49}{4} = 756.25\)

Change W squared plus 7w plus 49/4 to a binomial squared.

Just take the square root of the a value, W, and 49/4 for c. the square root of W squared is W. the square root of 49/4 is 7/2.

Those values are to the power of 2.

In other words, \((W+\frac{7}{2})^{2} =756.25\)

To isolate for W, take the square root of both sides.The square root of W plus 7/2 squared is just W+7/2. The square root of 756.25 is 27.5

There are two solutions for W because square roots be positive or negative, but we are dealing with positive since negative doesn't make sense with the context of the problem.

We have \(W+3.5 or \frac{7}{2}=27.5\)

Isolate for W by subtracting both sides by 3.5 You get to W=24.

Therefore, the width of the rectangle is 24 centimeters.

Alright, we found the width. We now need to find the length. The problem stated that the rectangle was 7 more than the width. So, 24+7=31. Therefore, the length of the rectangle is 31 centimeters.

L=31cm

W=24cm.

I hope this was helpful! I wish you have an amazing day!